Timeline for A general proof for the first digit problem
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 9, 2020 at 4:33 | comment | added | Anthony Quas | What you are looking for is the equidistribution of multiples of an irrational or unique ergodicity. | |
| Dec 8, 2020 at 16:18 | history | edited | YCor |
edited tags
|
|
| Dec 8, 2020 at 13:32 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
|
| Dec 8, 2020 at 13:01 | comment | added | Andreas Blass | The statement "We see that the normalized probability density function is approximately equal to the box function ..." isn't justified. In particular, it doesn't follow from the previous statement that $K$ is dense. In fact, it looks to me like essentially just asserting the desired conclusion. | |
| Dec 8, 2020 at 12:55 | comment | added | Debbie | @A.DellaCorte The link suggests to use the Poincare Recurrence Theorem. However, I am not sure how that applies here and how that addresses my concern (why should any function work?) | |
| Dec 8, 2020 at 12:47 | comment | added | Alessandro Della Corte | This is (very close to) a problem in Arnold's Mathematical methods of Classical Mechanics - see here: math.stackexchange.com/q/1247963/787383 | |
| Dec 8, 2020 at 12:17 | history | asked | Debbie | CC BY-SA 4.0 |